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`C`  is the segment `y=2b+1`  for `bin[1,3]` -Use geometry to calculate the area of...

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pensivegal | Honors

Posted September 23, 2013 at 5:36 AM via web

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`C`  is the segment `y=2b+1`  for `bin[1,3]`

-Use geometry to calculate the area of the surface obtained by rotating `C`  about the b-axis

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 23, 2013 at 6:07 AM (Answer #1)

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The segment C is given by y = 2b + 1 for b in [1, 3].

The surface area of the surface obtained by rotating C about the b-axis is equal to `pi*7*sqrt(7^2 + 3^2) - pi*3*sqrt(1^2 + 3^2)`

=> `pi*(7*sqrt 58 - 3*sqrt 10)`

The surface area obtained by rotating the segment about the b axis is `pi*(7*sqrt 58 - 3*sqrt 10)`

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